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Finding the Fourth Proportional to 3,096.70, 4,271.94 and 2,257

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Solution

The fourth proportional to 3,096.70, 4,271.94 and 2,257 is: 3,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.70 : 4,271.94 = 2,257 : x
  2. Step 2: Convert to fraction form
    3,096.70/4,271.94 = 2,257/x
  3. Step 3: Cross multiply
    3,096.70x = 4,271.94 × 2,257
  4. Step 4: Simplify right side
    3,096.70x = 9,641,768.58
  5. Step 5: Solve for x
    x = 9,641,768.58/3,096.70
  6. Step 6: Final answer
    x = 3,113.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.